An environmental survey contained a question asking what respondents thought was the major cause of air pollution in this country, giving the choices "automobiles," "factories," and "incinerators." Two versions of the test, A and B, were used. Let pa and Pg be the respective proportions of people using forms A and B who select "factories." If 170 out of 460 people who used version A chose "factories" and 141 out of 440 people who used version B chose "factories," (a) Find a 95% confidence interval for PA - PB: (b) Do the versions seem to be consistent concerning this answer? Why or why not?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An environmental survey contained a
question asking what respondents
thought was the major cause of air
pollution in this country, giving the
choices "automobiles," "factories," and
"incinerators." Two versions of the
test, A and B, were used. Let pa and
Pg be the respective proportions of
people using forms A and B who
select "factories." If 170 out of 460
people who used version A chose
"factories" and 141 out of 440 people
who used version B chose "factories,"
(a) Find a 95% confidence interval for
PA - PB:
(b) Do the versions seem to be
consistent concerning this answer?
Why or why not?
Transcribed Image Text:An environmental survey contained a question asking what respondents thought was the major cause of air pollution in this country, giving the choices "automobiles," "factories," and "incinerators." Two versions of the test, A and B, were used. Let pa and Pg be the respective proportions of people using forms A and B who select "factories." If 170 out of 460 people who used version A chose "factories" and 141 out of 440 people who used version B chose "factories," (a) Find a 95% confidence interval for PA - PB: (b) Do the versions seem to be consistent concerning this answer? Why or why not?
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